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math.PR2014
Dimension conservation for self-similar sets and fractal percolation
Kenneth Falconer, Xiong Jin
We introduce a technique that uses projection properties of fractal percolation to establish dimension conservation results for sections of deterministic self-similar sets. For exa…
math.PR2010★ 1 cited
Multistable processes and localisability
Kenneth Falconer, Lining Liu
We use characteristic functions to construct alpha(x)-multistable measures and integrals, where the measures behave locally like alpha-stable measures, but with the stability index…